Explanation The enthalpy ( h ) of this substance relative to a reference state is given by, h = ∫ T r e f T c P d T (I) Here, change in temperature is T , reference state temperature is T r e f , and specific heat capacity is c P . The entropy ( s ) of this substance relative to a reference state is given by, s 0 = ∫ T r e f T c P T d T (II) Write the expression for Gibb’s equation is follow: d u T = − R d V V (III) Here, change in internal energy is d u , gas constant is R , change in volume is d V , and volume is V . Conclusion: Substitute ∑ a i T i − n + a 0 e β T ( β T e β T -1 ) for c p 0 in Equation (1). h = ∫ T r e f T ( ∑ a i T i − n + a 0 e β T ( β T e β T -1 ) ) d T = [ ∑ a i i − n + 1 ( T i − n + 1 ) + a 0 E 1 ( e β T − β T ) ] T r e f T = ∑ a 1 i − n + 1 ( T i − n + 1 − T r e f i − n + 1 ) + a 0 [ e β T − e β T r e f − e E 1 ( 1 − β T ) − e E 1 ( 1 − β T r e f ) ] Here, a i , a 0 , n , and β are empirical constants. Thus, the enthalpy expression is developed as h = ∑ a 1 i − n + 1 ( T i − n + 1 − T r e f i − n + 1 ) + a 0 [ e β T − e β T r e f − e E 1 ( 1 − β T ) − e E 1 ( 1 − β T r e f ) ] . Substitute ∑ a i T i − n + a 0 e β T ( β T e β T -1 ) for c p 0 in Equation (2)

CONNECT FOR THERMODYNAMICS: AN ENGINEERI

9th Edition

ISBN: 9781260048636

Author: CENGEL

Publisher: MCG

See similar textbooks

Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

Videos

Question

Chapter 12.6, Problem 82RP

To determine

Develop the expressions for h, u, s°, Pr, and νr by using the relation cp0=∑aiTi−n+a0eβT(βTeβT-1)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.6, Problem 81P

Chapter 12.6, Problem 83RP

Students have asked these similar questions

2. In a particular section of a fluid system, a 30% ethylene glycol mixture is flowing through a 6- nom xs cast iron pipe at a temperature of 0°C. In this section of piping, the velocity must be maintained in the range 1.5 m/s

1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa. The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine the following. P = 5 MPa T₁ = 500°C Boiler P₁₂ =5 MPa Τ =496°C 7 = 85% W = 1,000 MW P=1 atm To=25°C Turbine 3+ P = 10 kPa a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW) b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents exergy that is lost to the environment and unavailable for power delivery. Comment on the magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s) would warrant better…

An aluminum rod of length L = 1m has mass density p = 2700 kg and Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact natural eigenfrequencies of the rod are wexact E = √ ρ for n=1,2,3,. . . . 1. What is the minimum number of linear elements necessary to determine the fundamental frequency w₁ of the system? Discretize the rod in that many elements of equal length, assemble the global system of equations KU = w² MU, and find the fundamental frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact Sketch the fundamental mode of vibration. 2. Use COMSOL to solve the same problem. Show the steps necessary to find the fundamental frequency and mode of the rod. What is the relative error using linear elements and a normal mesh?

Chapter 12 Solutions

CONNECT FOR THERMODYNAMICS: AN ENGINEERI

Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider the function z(x, y). Plot a differential...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 4P Ch. 12.6 - Prob. 5P Ch. 12.6 - Consider a function f(x) and its derivative df/dx....Ch. 12.6 - Conside the function z(x, y), its partial...Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Develop the expressions for h , u , s ° , P r , and ν r by using the relation c p 0 = ∑ a i T i − n + a 0 e β T ( β T e β T -1 )

Solution Summary: The author develops the expressions for h, U and S° by using the relation c_p0.

Concept explainers

Videos

Develop the expressions for h, u, s°, Pr, and νr by using the relation cp0=∑aiTi−n+a0eβT(βTeβT-1)

Want to see the full answer?

Chapter 12 Solutions